Question 843642
Multiplying same base, exponents add.
Exponents to a power, multiply.
{{{(a^(1/2)b)^(1/2)=a^(1/4)*b^(1/2)}}}
So then,
{{{(a^(1/2)b)^(1/2)*(ab^(1/2))=a^(1/4)b^(1/2)*ab^(1/2)}}}
{{{(a^(1/2)b)^(1/2)*(ab^(1/2))=a^(1/4+4/4)*b^(1/2+1/2)}}}
{{{(a^(1/2)b)^(1/2)*(ab^(1/2))=a^(5/4)*b}}}